The entanglement dynamics of the bipartite quantum system: toward entanglement sudden death

Abstract

We investigate the entanglement dynamics of bipartite quantum system between two qubits with the dissipative environment. We begin with the standard Markovian master equation in the Lindblad form and the initial state which is prepared in the extended Werner-like state: ${\rho }_{AB}^{\Phi }(0)$. We examine the conditions for entanglement sudden death (ESD) and calculate the corresponding ESD time by the Wootters' concurrence. We observe that ESD is determined by the parameters like the mean occupation number of the environment $N$, amount of initial entanglement $\alpha$, and the purity $r$. For N=0, we get the analytical expression of both ESD condition and ESD time. For $N>0$ we give a theoretical analysis that ESD always occurs, and simulate the concurrence as a function of ${\gamma }_{0}t$ and one of the parameters $N,\alpha$, and $r$.

10 pages, 5 figures

References in corpus (10)

• Experimental quantum teleportation
• Finite-Time Disentanglement via Spontaneous Emission
• Quantum Open System Theory: Bipartite Aspects
• Heralded Entanglement between Atomic Ensembles: Preparation, Decoherence, and Scaling
• Sudden Death of Entanglement: Classical Noise Effects
• Scaling laws for the decay of multiqubit entanglement
• A Factorization Law for Entanglement Decay
• Optimal Decoherence Control in non-Markovian Open, Dissipative Quantum Systems
• Entanglement Evolution in the Presence of Decoherence
• X-ray Scattering Study of the spin-Peierls transition and soft phonon behavior in TiOCl

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• Quantum recoil effects in finite-time disentanglement of two distinguishable atoms
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